Similarity to ideal-based grey relational projection for multiple criteria decision-making

We have investigated the problems about multiple criteria decision-making. Using the grey system theory, technique for order preference by similarity to ideal solution, and the vector projection synthetically, a new synthetical grey relational projection algorithm was put forward. The decision-making model in which the adjacency degree both between the projects and positive ideal one and between the projects and negative ideal one is taken into account synchronously was set up. The principle of the algorithm and some basic concepts were introduced. Then the validity analysis method for the proposed algorithm which is based on the differentiation degree of the projects was presented. At last, the feasibility and effectiveness of the proposed decision-making algorithm and the validity analysis method were proved by an example. The algorithm which has the highest validity level offers a new thought way and more reliable basis for multiple criteria decision-making.